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What is the GCF of 9000 and 8748?

The gcf of 9000 and 8748 is 36.

Steps to find GCF

  1. Find the prime factorization of 9000
    9000 = 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5
  2. Find the prime factorization of 8748
    8748 = 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3
  3. To find the gcf, multiply all the prime factors common to both numbers:

    Therefore, GCF = 2 × 2 × 3 × 3
  4. GCF = 36

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The greatest common factor (gcf) is also known as greatest common divisor (gcd) or highest common factor (hcf).

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